Online GCD Calculator is useful to find the GCD of 840, 315, 472, 946 quickly. Get the easiest ways to solve the greatest common divisor of 840, 315, 472, 946 i.e 1 in different methods as follows.
Given Input numbers are 840, 315, 472, 946
In the factoring method, we have to find the divisors of all numbers
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 946 :
The positive integer divisors of 946 that completely divides 946 are.
1, 2, 11, 22, 43, 86, 473, 946
GCD of numbers is the greatest common divisor
So, the GCD (840, 315, 472, 946) = 1.
Given numbers are 840, 315, 472, 946
The list of prime factors of all numbers are
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 946 are 2 x 11 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 840, 315, 472, 946
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(840, 315) = 2520
GCD(840, 315) = ( 840 x 315 ) / 2520
= 840 / 315
= 840
Step2:
LCM(105, 472) = 49560
GCD(105, 472) = ( 105 x 472 ) / 49560
= 105 / 472
= 105
Step3:
LCM(1, 946) = 946
GCD(1, 946) = ( 1 x 946 ) / 946
= 1 / 946
= 1
So, Greatest Common Divisor of 840, 315, 472, 946 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 840, 315, 472, 946
The greatest common divisor of numbers 840, 315, 472, 946 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 315, 472, 946 is 1.
1. What is the GCD of 840, 315, 472, 946?
GCD of given numbers 840, 315, 472, 946 is 1
2. How to calculate the greatest common divisor of 840, 315, 472, 946?
We can find the highest common divisor of 840, 315, 472, 946 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 840, 315, 472, 946 i.e 1.
3. How can I use the GCD of 840, 315, 472, 946Calculator?
Out the numbers 840, 315, 472, 946 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.